Abstract
This paper is aimed at the giving of a comparative approach to the preferences modelling. This approach is conceived to grasp the fuzzy nature of preferences what determines the choice two fuzzy logic formalisms for their representation discussed by P. Hajek and L. Godo. These two (appropriately modified) formalism are used to propose two formalism for preferences: Fuzzy Modal Preferential Logic (FMPL) and Comparative Possibilistic Multi-Modal Propositional Logic (CPMPL). We also justify some metalogical properties of both systems such as their completeness and we discuss a satisfiability problem for them. In result, we propose a short juxtaposition of the properties of the considered systems.
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Jobczyk, K., Ligęza, A., Bouzid, M., Karczmarczuk, J. (2015). Comparative Approach to the Multi-Valued Logic Construction for Preferences. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L., Zurada, J. (eds) Artificial Intelligence and Soft Computing. ICAISC 2015. Lecture Notes in Computer Science(), vol 9119. Springer, Cham. https://doi.org/10.1007/978-3-319-19324-3_16
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DOI: https://doi.org/10.1007/978-3-319-19324-3_16
Publisher Name: Springer, Cham
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